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# Given the ellipse with equation 9x2 + 25y2 = 225, find the eccentricity and foci.

Answer :

Equation of an ellipse = , whereas

Length of latus rectum =

Length of minor axis = 2b

9x^{2} + 25y^{2} = 225

Dividing the equation by 225,

a = 5, b = 3

b^{2} = a^{2} (1 - e^{2})

3^{2} = 5^{2} (1 - e^{2})

Foci = (±ae,0)

=

Hence, the eccentricity is and foci is (±4,0).

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